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1 year ago

Find three different irrational numbers between 0.13 and 0.14

Mathematics

2 answers:

Tpy6a [65]1 year ago

7 0

Answer:

0.13468995325789542.....

0.135789075421345688....

0.136800865431234668...

Step-by-step explanation:

An irrational number is real number that cannot be expressed as a ratio of two integers. The number "pi" or π (3.14159...) is a common example of an irrational number since it has an infinite number of digits after the decimal point.

tino4ka555 [31]1 year ago

5 0

Answer:0.13468995325789542.....

0.135789075421345688....

0.136800865431234668...

Step-by-step explanation:

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Let X, Y, and Z be random variables, and let Cov(⋅,⋅) denote the covariance operator as usual. Suppose that the variance of X is

bearhunter [10]

By definition of covariance,

Cov[X, Y] = E[(X - E[X]) (Y - E[Y])] = E[XY] - E[X] E[Y]

from which it follows that

Cov[X, X] = E[X^2] - E[X]^2 = V[X]

a. I assume T is supposed to be some scalar factor. I'll use a general scalar k and let you fill in the details for yourself.

Cov[kY, 7X] = E[7k XY] - E[kY] E[7X] = 7k(E[XY] - E[X] E[Y])

= 7k Cov[X, Y]

and plug in 0.4 for Cov[X, Y].

Cov[7X + 6, Z] = E[(7X + 6) Z] - E[7X + 6] E[Z]

= 7 E[XZ] + 6 E[Z] - 7 E[X] E[Z] - 6 E[Z]

= 7 (E[XZ] - E[X] E[Z]) = 7 Cov[X, Z]

= 8.4

Cov[7Y, 7X + 7Z] = E[7Y (7X + 7Z)] - E[7Y] E[7X + 7Z]

= 49 E[XY + YZ] - 49 E[Y] E[X + Z]

= 49 (E[XY] + E[YZ] - E[Y] E[X] - E[Y] E[Z])

= 49 (Cov[X, Y] + Cov[Y, Z])

= 58.8

Cov[7X + 6Y, 7X + 7Z] = E[(7X + 6Y) (7X + 7Z)] - E[7X + 6Y] E[7X + 7Z]

= E[49 X^2 + 49 XZ + 42 XY + 42 YZ] - (49 E[X]^2 + 49 E[X] E[Z] + 42 E[X] E[Y] + 42 E[Y] E[Z])

= 49 (V[X] + Cov[X, Z]) + 42 (Cov[X, Y] + Cov[Y, Z])

= 143.5

6 0

1 year ago

The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. S

lana [24]

Answer:

Part A) $h=V/(\pi r^{2})$

Part B) $h=4\ cm$

Step-by-step explanation:

Part A)

we have the formula of the volume of a cylinder

$V=\pi r^{2}h$

Solve for h

That means ----> isolate the variable h

Divide both side by πr²

$V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})$

Simplify

$V/(\pi r^{2})=h$

Rewrite

$h=V/(\pi r^{2})$

Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm

we have

$V=36\pi\ cm^3$

$r=3\ cm$

substitute in the formula and solve for h

$h=36\pi/(\pi 3^{2})$

$h=4\ cm$

8 0

2 years ago

A television sports commentator wants to estimate the proportion of citizens who "follow professional football." Complete parts

masha68 [24]

Answer:

626 and 654

Step-by-step explanation:

Given that a television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Part I:

p = 0.48

$q=1-p = 0.52\\se = \sqrt{\frac{pq}{n} } \\\frac{0.4996}{\sqrt{n} } =$

Margin of error = $2.045*\frac{0.4996}{\sqrt{n} }626$

Sample size should be >626

Part II:

If unknown we take p = 0.5 because maximum std error for this

Here everything would be the same except insted of 0.48 we use 0.5

Margin of error = $2.045*\sqrt{\frac{0.5}{\sqrt{n} } } 654$

-------------------------

a and b are too close because 0.46 proportion is close to part b proporti0n 0.5

4 0

2 years ago

Three times the sum of half Carlita's age and 3 is at least 12. What values represent Carlita's possible age?

cestrela7 [59]

Answer:

at least 6

Step-by-step explanation:

3(.5x+3)>12

1.5x+9>12

1.5>9

x>6

5 0

1 year ago

Read 2 more answers

Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11inc

babunello [35]

For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.

We have then:

$h = \frac {1} {2} gt ^ 2 + vo * t + h0$

Where,

g: acceleration of gravity
vo: initial speed
h0: initial height

For the first body:

$h1 = \frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21$

For the second body:

$h2 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50$

By the time both bodies have the same height we have:

$h1 = h2\\$

$\frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50$

Rewriting we have:

$\frac {8} {12} * t + 21 = - \frac {11} {12} * t + 50$

$\frac {8} {12} * t + \frac {11} {12} * t = 50 - 21$

$\frac {19} {12} * t = 29$

Clearing time:

$t = 29 (\frac {12} {19})\\t = 18.31s$

Answer:

it takes 18.31s for the two window washers to reach the same height

6 0

2 years ago

Read 2 more answers